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Quasi-Invariant Manifolds, Stability, and Generalized Hopf Bifurcation
(University of Texas at Arlington, 1981-03)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Generalized Transversality, Exchange of Stability and Hopf Bifurcation
(University of Texas at Arlington, 1981-02)
**Please note that the full text is embargoed** ABSTRACT: In Hopf bifurcation theory often an exchange of stability of an
equilibrium gives rise to the creation of periodic orbits for a
one parameter family of differential ...
A Topological Method for Vector-Valued and Nth Order Nonlinear Boundary Value Problems
(University of Texas at Arlington, 1982-05)
**Please note that the full text is embargoed** ABSTRACT: The use of topological methods in the analysts of second order nonlinear boundary value problems (BVP for short) in Rn of the form
(E) [see pdf for notation]
(C) [see ...
Stability and Generalized Hopf Bifurcation Through a Reduction Principle
(University of Texas at Arlington, 1980-10)
**Please note that the full text is embargoed** ABSTRACT: We are interested in obtaining an analysis of the bifurcating periodic orbits arising in the generalized Hopf bifurcation problems in Rn. The existence of these ...
Fixed Point Theorems for PPF Mappings Satisfying Inwardness Conditions
(University of Texas at Arlington, 1980-07)
**Please note that the full text is embargoed** ABSTRACT: In this paper we continue our recent development [1] of the theory of fixed point theorems of nonlinear operators whose domain and range are different Banach spaces. ...
Linear Monotone Method for Nonlinear Boundary Value Problems in Banach Spaces
(University of Texas at Arlington, 1981-05)
**Please note that the full text is embargoed** ABSTRACT: One of the most useful techniques in proving the existence of multiple solutions of nonlinear boundary value problems (BVP for short) is the
monotone iterative ...